Optical cluster state: Difference between revisions

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====Type-I fusion====
 
In type-I fusion, photons with either vertical or horizontal polarization are injected into modes <math>a</math> and <math>b</math>, connected by a polarizationpolarizing beam splitter. InEach oneof the photons sent into this system is part of thesea modesBell pair that this method will try to entangle. Upon passing through the polarizing beam splitter, the atwo projectivephotons measurementwill ontogo opposite ways if they have the basissame <math>|H\rangle\pm\|V\rangle</math>polarization or the same way if they have the same polarization, e.g.
 
<math>|H_a,H_b\rightarrow|H_a,H_b\rangle</math>
 
or
 
<math>|H_a,V_b\rightarrow|H_a,V_a\rangle</math>
 
Then on one of these modes, a projective measurement onto the basis <math>|H\rangle\pm|V\rangle</math> is performed. If the measurement is successful, i.e. if it detects anything, then the detected photon is destroyed, but the remaining photons from the Bell pairs become entangled. Failure to detect anything results in an effective loss of the involved photons.
 
====Type-II fusion====